A Family of High Order Numerical Methods for Solving Nonlinear Algebraic Equations with Simple and Multiple Roots

Author:

Baccouch MahboubORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference19 articles.

1. Ackleh, A.S., Allen, E.J., Kearfott, R.B., Seshaiyer, P.: Classical and Modern Numerical Analysis: Theory, Methods and Practice. CRC Press, Boca Raton (2010)

2. Burden, R.L., Faires, J.D., Burden, A.M.: Numerical Analysis. Cengage Learning, Boston, MA (2016)

3. Chun, C.: Some third-order families of iterative methods for solving nonlinear equations. Appl. Math. Comput. 188(1), 924–933 (2007)

4. Cordero, A., Hueso, J.L., Martínez, E., Torregrosa, J.R.: Efficient three-step iterative methods with sixth order convergence for nonlinear equations. Numer. Algorithms 53(4), 485–495 (2010)

5. Gutiérrez, J., Hernández, M.: A family of chebyshev-halley type methods in banach spaces. Bull. Australian Math. Soc. 55(1), 113130 (1997). doi: 10.1017/S0004972700030586

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